Pith Number

pith:AVISULT5

pith:2024:AVISULT5WX7JKKC5YLMWJKKXY2

not attested not anchored not stored refs pending

Discrepancies of spanning trees in dense graphs

Adva Mond, Julien Portier, Lawrence Hollom, Lyuben Lichev

arxiv:2410.17034 v1 · 2024-10-22 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVISULT5WX7JKKC5YLMWJKKXY2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T09:24:11.009636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05512a2e7db5fe95285dc2d964a957c6857658f0ab698595c3851f723e3098a7

Aliases

arxiv: 2410.17034 · arxiv_version: 2410.17034v1 · doi: 10.48550/arxiv.2410.17034 · pith_short_12: AVISULT5WX7J · pith_short_16: AVISULT5WX7JKKC5 · pith_short_8: AVISULT5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AVISULT5WX7JKKC5YLMWJKKXY2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 05512a2e7db5fe95285dc2d964a957c6857658f0ab698595c3851f723e3098a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef20adab3cbaddbaa7ce546340a7eb2444cc5ed3b1ce42234f4927a506657f6b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-22T14:04:33Z",
    "title_canon_sha256": "2e3fb6a2c52207f25f08a7da843c3b9f7d943438a0092e84dd4c89d355748b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17034",
    "kind": "arxiv",
    "version": 1
  }
}